An appeal has to be filed by January 10 on the certificate of appropriateness to demolish the old Trust building on West Evans Street in Florence, according to officials.
The Florence Design Review Board granted the certificate to the city last month.
The appeal will be heard by a circuit court judge even though a city ordinance requires Florence City Council to hear the appeal.
Council recused itself from the appeal process to avoid any appearance of conflict, or impropriety.
The city wants the building demolished so the land can be used for Francis Marion University's medical college.
A group calling itself Preserve Our Trust says it will have its appeal filed by the deadline.
It believes the Trust building can be saved and says a North Carolina developer is interested in the property.
The city says it would cost up to $10 million to renovate the building and that's money investors aren't willing to spend.